{"id":"vidhyamitra:city-day:kolhapur:2159-04-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2159-04-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2159-04-30","date_display":"April 30, 2159 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2159,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509737.770833,"kali_year":5261,"ahargana":1921272.2708,"sun":{"sidereal_longitude":13.1772,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":165.3277,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.1505,"elapsed_within_tithi_degrees":8.1505},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.3277,"elapsed_within_degrees":5.3277},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.5049},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2159,"month":4,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2509737.770833,"ahargana":1921272.2708,"kali_year":5261,"ayanamsa_lahiri":26.0787,"grahas":{"sun":{"sidereal_longitude":13.472018999999989,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":165.42431899999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-4.4717},"mars":{"sidereal_longitude":246.07831899999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":19.623518999999987,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":158.15551900000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":56.837919,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":176.44531899999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":261.7493,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":81.7493,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2159,"month":4,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2509737.770833,"kali_year":5261,"ahargana":1921272.2708,"sun":{"sidereal_longitude":13.1772,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":165.3277,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":152.1505,"elapsed_within_tithi_degrees":8.1505},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.3277,"elapsed_within_degrees":5.3277},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":178.5049},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.472,"elongation":152.15},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.472,"opposition_distance":27.85}},"eclipse_window_40days":[]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:09","sunsetLocal":"18:52","solarNoonLocal":"12:30","dayLengthHours":12.721144972489371,"dayLengthDisplay":"12 Hours 43 Mins 16 Secs","nightLengthDisplay":"11 Hours 16 Mins 44 Secs","moonriseLocal":"16:41","moonsetLocal":"04:35","rahuKala":{"name":"Rāhu Kāla","start":"07:44","end":"09:19","startHours":7.733592948829781,"endHours":9.323736070390952,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:55","end":"12:30","startHours":10.913879191952123,"endHours":12.504022313513296,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:06","end":"15:41","startHours":14.094165435074466,"endHours":15.684308556635639,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:07","end":"09:32","startHours":9.111716987516129,"endHours":9.535755153265775,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:40","end":"07:01","startHours":6.673497534455667,"endHours":7.0127280670553835,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:05","end":"12:56","startHours":12.07998414776365,"endHours":12.928060479262943,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:27","end":"05:18","startHours":4.447297164270027,"endHours":5.295373495769319,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:05","end":"06:09","startHours":5.083354412894495,"endHours":6.1434498272686096,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:28","startHours":14.624213142261523,"endHours":15.472289473760814,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:40","end":"19:04","startHours":18.66459479975798,"endHours":19.06459479975798,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:52","end":"19:24","startHours":18.86459479975798,"endHours":19.39464250694504,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:37","end":"20:22","startHours":18.61459479975798,"endHours":20.36459479975798,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:05","end":"00:56","startHours":24.07998414776365,"endHours":24.928060479262943,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:09","end":"07:44","startHours":6.1434498272686096,"endHours":7.733592948829781,"quality":"auspicious"},{"name":"Kāla","start":"07:44","end":"09:19","startHours":7.733592948829781,"endHours":9.323736070390952,"quality":"inauspicious"},{"name":"Śubha","start":"09:19","end":"10:55","startHours":9.323736070390952,"endHours":10.913879191952123,"quality":"auspicious"},{"name":"Roga","start":"10:55","end":"12:30","startHours":10.913879191952123,"endHours":12.504022313513296,"quality":"inauspicious"},{"name":"Udveg","start":"12:30","end":"14:06","startHours":12.504022313513296,"endHours":14.094165435074466,"quality":"inauspicious"},{"name":"Chala","start":"14:06","end":"15:41","startHours":14.094165435074466,"endHours":15.684308556635639,"quality":"neutral"},{"name":"Labha","start":"15:41","end":"17:16","startHours":15.684308556635639,"endHours":17.27445167819681,"quality":"auspicious"},{"name":"Amṛta","start":"17:16","end":"18:52","startHours":17.27445167819681,"endHours":18.86459479975798,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:52","end":"20:16","startHours":18.86459479975798,"endHours":20.274451678196808,"quality":"neutral"},{"name":"Labha","start":"20:16","end":"21:41","startHours":20.274451678196808,"endHours":21.68430855663564,"quality":"auspicious"},{"name":"Amṛta","start":"21:41","end":"23:06","startHours":21.68430855663564,"endHours":23.094165435074466,"quality":"auspicious"},{"name":"Kāla","start":"23:06","end":"00:30","startHours":23.094165435074466,"endHours":24.504022313513296,"quality":"inauspicious"},{"name":"Śubha","start":"00:30","end":"01:55","startHours":24.504022313513296,"endHours":25.913879191952123,"quality":"auspicious"},{"name":"Roga","start":"01:55","end":"03:19","startHours":25.913879191952123,"endHours":27.32373607039095,"quality":"inauspicious"},{"name":"Udveg","start":"03:19","end":"04:44","startHours":27.32373607039095,"endHours":28.73359294882978,"quality":"inauspicious"},{"name":"Chala","start":"04:44","end":"06:09","startHours":28.73359294882978,"endHours":30.14344982726861,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.1434498272686096,"endHours":7.1434498272686096,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.1434498272686096,"endHours":8.14344982726861,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.14344982726861,"endHours":9.14344982726861,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.14344982726861,"endHours":10.14344982726861,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.14344982726861,"endHours":11.14344982726861,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.14344982726861,"endHours":12.14344982726861,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.14344982726861,"endHours":13.14344982726861,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.14344982726861,"endHours":14.14344982726861,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.14344982726861,"endHours":15.14344982726861,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.14344982726861,"endHours":16.14344982726861,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.14344982726861,"endHours":17.14344982726861,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.14344982726861,"endHours":18.14344982726861,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.14344982726861,"endHours":19.14344982726861,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.14344982726861,"endHours":20.14344982726861,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.14344982726861,"endHours":21.14344982726861,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.14344982726861,"endHours":22.14344982726861,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.14344982726861,"endHours":23.14344982726861,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.14344982726861,"endHours":24.14344982726861,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.14344982726861,"endHours":25.14344982726861,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.14344982726861,"endHours":26.14344982726861,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.14344982726861,"endHours":27.14344982726861,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.14344982726861,"endHours":28.14344982726861,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.14344982726861,"endHours":29.14344982726861,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.14344982726861,"endHours":30.14344982726861,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Vasanta (Spring)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":14.670537744483953,"eotMinutes":2.785461189202204,"ayanamsa":26.0787}},"calendars":{"vikram_samvat":2216,"vikram_samvatsara":"Aṅgirasa","saka_samvat":2081,"saka_samvatsara":"Siddhārthī","bengali_samvat":1566,"malayalam_era":1335,"nanakshahi_year":690,"lunar_month":"Vaiśākha","lunar_month_paksha_full":"Vaiśākha Śukla Pakṣa","solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Vasanta (Spring)","display_summary":"Vaiśākha Śukla Trayodaśī · Vikram 2216 Aṅgirasa · Śaka 2081 Siddhārthī"},"festivals":[{"id":"mesha-sankranti","name":"Meṣa Saṅkrānti (Vaiśākhī / Vishu / Pohelā Boishākh / Bihu)","name_sanskrit":"मेष सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Aries; solar new year. Regional: Vaiśākhī (Punjab) · Vishu (Kerala) · Pohelā Boishākh (Bengal) · Bihu (Assam) · Tamil Puthāṇḍu.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":1},{"id":"baisakhi","name":"Baisakhi (Vaiśākhī)","name_sanskrit":"वैशाखी","tradition":"Regional","associated_deity":"Sūrya + Khalsa Pantha (Sikh)","significance":"Punjab New Year + Sikh Khalsa founding day.","vrata":false,"detection":{"sun_rashi":"Meṣa"},"precedence":2},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"kolhapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga April 30, 2159 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"April 30, 2159 CE for Kolhāpur, Maharashtra: Śukla Trayodaśī, sūryodaya 06:09, sūryāsta 18:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2159-04-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2159-04-30","sa":"https://sa.vidhyamitra.com/city/kolhapur/2159-04-30","hi":"https://hi.vidhyamitra.com/city/kolhapur/2159-04-30","x-default":"https://vidhyamitra.com/city/kolhapur/2159-04-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-27T04:45:06.138Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-27T04:45:06.138Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-27T04:45:06.138Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}